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Uniformed Services University of the Health Sciences (USU) is a health science university and professional school of the U.S. federal government.The primary mission of the school is to prepare graduates for service to the U.S. at home and abroad as uniformed health professionals, scientists and leaders; by conducting cutting-edge, military-relevant research; by leading the Military Health ...
Utah State University (USU or Utah State) is a public land-grant research university with its main campus in Logan, Utah. Founded in 1888 under the Morrill Land-Grant Acts as Utah's federal land-grant institution, Utah State is one of two flagship universities for the state of Utah; it is classified among " Carnegie R1: Doctoral Universities ...
On the other hand, the primes 3, 7, 11, 19, 23 and 31 are all congruent to 3 modulo 4, and none of them can be expressed as the sum of two squares. This is the easier part of the theorem, and follows immediately from the observation that all squares are congruent to 0 (if number squared is even) or 1 (if number squared is odd) modulo 4.
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The idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.
Addition. 3 + 2 = 5 with apples, a popular choice in textbooks [ 1] Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. [ 2] The addition of two whole numbers results in the total amount or sum of those values combined.
Calculus. In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions : The first terms of the series sum to approximately , where is the natural logarithm and is the Euler–Mascheroni constant. Because the logarithm has arbitrarily large values, the harmonic series does not have a finite limit: it ...
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